{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Logistic Regression Metropolis-Hastings classifier\n",
    "==\n",
    "## Simon Rogers, Feb 2017"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pylab as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Generate some data with two classes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "x = np.random.randn(50,2)\n",
    "x[:25,:] += 1.5\n",
    "x[25:,:] += -1.5\n",
    "t = np.zeros((50,1))\n",
    "t[25:] += 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XdH5+ntv3EGv0DADALvxYFRCIEsIAAOxibnpaR0qlqtt6SyXNTW27/hoQC4QBANiBc04H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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10f165dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "styles = ['ro','bo']\n",
    "classes = np.unique(t)\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sample some decision boundaries using metropolis-hastings from this approximation and plot them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "w_samples = []\n",
    "w = np.vstack((0,0)) # initial value\n",
    "jump_sigma = 0.1 # standard deviation of gaussian proposal\n",
    "n_samps = 1000 # number of samples to take\n",
    "sig_sq = 0.5 # prior variance\n",
    "for samp in range(n_samps):\n",
    "    # generate w_new\n",
    "    w_new = w + np.random.randn(2,1)*jump_sigma\n",
    "    # compute the prior ratio\n",
    "    r = -(1.0/(2.0*sig_sq))*np.dot(w_new.T,w_new).flatten()\n",
    "    r -= -(1.0/(2.0*sig_sq))*np.dot(w.T,w).flatten()\n",
    "    # incorporate the likelihood part\n",
    "    P_new = 1.0/(1.0+np.exp(-np.dot(x,w_new)))\n",
    "    P = 1.0/(1.0+np.exp(-np.dot(x,w)))\n",
    "    pos0 = np.where(t==0)[0]\n",
    "    pos1 = np.where(t==1)[0]\n",
    "    r += np.log(P_new[pos1]).sum() + np.log((1-P_new[pos0])).sum()\n",
    "    r -= np.log(P[pos1]).sum() + np.log((1-P[pos0])).sum()\n",
    "    if np.random.rand() <= np.exp(r):\n",
    "        # accept\n",
    "        w = w_new\n",
    "    else:\n",
    "        # reject\n",
    "        pass\n",
    "    w_samples.append(w.flatten())\n",
    "w_samples = np.array(w_samps)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot 20 of the samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-5, 5)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RR7BxI/z0U52NoSiKcr1pkok/59QaQg95kJn5dZ0fCWsqNBoN0zt2JNjXl1NVVfjp9ez+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\nXIgkfiGEEMKFSOIXQgghXMj/AdfraCd3ZmTuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a0bd5d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "\n",
    "# Pick 20 random ones\n",
    "for w_sample in np.random.permutation(w_samples)[:20]:\n",
    "#     Plot the line corresponding to w.Tx = 0\n",
    "    xv = np.array([-5,5])\n",
    "    yv = (-w_sample[1]/w_sample[0])*xv\n",
    "    plt.plot(xv,yv)\n",
    "plt.xlim([-5,5])\n",
    "plt.ylim([-5,5])\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the decision boundary. We will actually plot probability contours by making a big grid. To get these values, we have to take an expectation over the approximate posterior (the Laplacian) which we in turn approximate by sampling"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "gridX,gridY = np.meshgrid(np.arange(-5,5,0.1),np.arange(-5,5,0.1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the following code is vectorised to make it faster (needs no explicit loops)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "nr,nc = gridX.shape\n",
    "gx = np.reshape(gridX,(nr*nc,1))\n",
    "gy = np.reshape(gridY,(nr*nc,1))\n",
    "g = np.hstack((gx,gy))\n",
    "P = (1.0/(1+np.exp(np.dot(g,w_samples.T)))).mean(axis=1)\n",
    "P = np.reshape(P,(nr,nc))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x11a28e910>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XQcUXYWZjiN5n3/GzoXStWrw5cyZhX33FvqlT9Q7HIak2uopDeNABAHs/uOtw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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11a156190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "for i,classn in enumerate(classes):\n",
    "    pos = np.where(t==classn)[0]\n",
    "    plt.plot(x[pos,0],x[pos,1],styles[i])\n",
    "plt.contour(gridX,gridY,P)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
